Lecture 32: 04/16/2012

More Matching. It’s starting to seem like perfect matchings are everywhere in computer science.

Lots of examples with graphs and Tutte matrices. We also looked at what the determinant of a Tutte matrix actually tells you about a graph when you compute it all out. Surprisingly, it tells you more than just perfect matchings. If will tell you if there is a Hamiltonian cycle in a graph.

So what? Well now we know that computing a determinant symbolically is at least as hard as determining if a graph has a Hamiltonian cycle, which is NP-complete. That’s hard, let me tell you.


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